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Proof step 27 from proof cont-iterate-fix (previous step)

f(((f ^ n))(λ x. false))(x), monotone(f), f(λ x0. ∃ n. ((f ^ n))(λ x. false)(x0))(x), ∀ x. f(λ x0. ∃ n. ((f ^ n))(λ x. false)(x0))(x) ↔ (∃ n. f(((f ^ n))(λ x. false))(x)) ⊦ ∃ n. ((f ^ n))(λ x. false)(x)

User applied rule exists right

And obtained the following new goals

Proof step 28:
f(((f ^ n))(λ x. false))(x), monotone(f), f(λ x0. ∃ n. ((f ^ n))(λ x. false)(x0))(x), ∀ x. f(λ x0. ∃ n. ((f ^ n))(λ x. false)(x0))(x) ↔ (∃ n. f(((f ^ n))(λ x. false))(x)) ⊦ ((f ^ (n + 1)))(λ x. false)(x), ∃ n. ((f ^ n))(λ x. false)(x)

Rule argument

pos: right 1 terms: n + 1 abort: F discard: F computed: F

Additional information

Used terms: n + 1